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Models of Cellular Regulation$
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Baltazar Aguda, Avner Friedman, and Visiting Associate Professor, The Ohio State University

Print publication date: 2008

Print ISBN-13: 9780198570912

Published to Oxford Scholarship Online: September 2008

DOI: 10.1093/acprof:oso/9780198570912.001.0001

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Mathematical and computational modelling tools

Mathematical and computational modelling tools

(p.18) 3 Mathematical and computational modelling tools
Models of Cellular Regulation

Baltazar D. Aguda

Avner Friedman

Oxford University Press

This chapter reviews chemical kinetics to illustrate the formulation of model equations for a given reaction mechanism. For spatially uniform systems, these model equations are usually ordinary differential equations; but coupling of chemical reactions to physical processes such as diffusion requires the formulation of partial differential equations to describe the spatiotemporal evolution of the system. Mathematical analysis of the dynamical models involves basic concepts from ordinary and partial differential equations. Computational methods, including stochastic simulations and sources of computer software programs available free on the internet are also summarized.

Keywords:   ordinary differential equations, bifurcations, computational models, mathematical models, singular perturbations, partial differential equations, conservation laws, stochastic simulations

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